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Solving Multivariate Polynomial Matrix Diophantine Equations with Grobner Basis Method 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2021, 页码: 14
作者:  Xiao Fanghui;  Lu Dong;  Wang Dingkang
收藏  |  浏览/下载:147/0  |  提交时间:2021/04/26
Grö  bner basis  matrix Diophantine equation  module  multivariate polynomial  
Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2020, 卷号: 402, 页码: 14
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载:182/0  |  提交时间:2020/05/24
Nonlocal mKdV equation  Non-zero boundary conditions  Riemann surface  Inverse scattering transform  Matrix Riemann-Hilbert problem  Solitons  
On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020, 卷号: 27, 期号: 1, 页码: 21
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载:188/0  |  提交时间:2020/06/30
convergence property  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  
Observability of Boolean networks via matrix equations 期刊论文
AUTOMATICA, 2020, 卷号: 111, 页码: 5
作者:  Yu, Yongyuan;  Meng, Min;  Feng, Jun-e
收藏  |  浏览/下载:172/0  |  提交时间:2020/05/24
Boolean network  Matrix equation  Observability  Semi-tensor product of matrices  
Distributed optimisation design for solving the Stein equation with constraints 期刊论文
IET CONTROL THEORY AND APPLICATIONS, 2019, 卷号: 13, 期号: 15, 页码: 2492-2499
作者:  Chen, Guanpu;  Zeng, Xianlin;  Hong, Yiguang
收藏  |  浏览/下载:187/0  |  提交时间:2020/05/24
least squares approximations  gradient methods  convergence  matrix algebra  concave programming  multi-agent systems  distributed optimisation design  Stein equations  set constraints  rows  columns  coefficient matrices  equivalent distributed optimisation problem  projection-based algorithm  least-squares solution  constrained Stein equation  multiagent system network  simplified distributed algorithm  
Distributed Computation of Linear Matrix Equations: An Optimization Perspective 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 卷号: 64, 期号: 5, 页码: 1858-1873
作者:  Zeng, Xianlin;  Liang, Shu;  Hong, Yiguang;  Chen, Jie
收藏  |  浏览/下载:195/0  |  提交时间:2020/01/10
Constrained convex optimization  distributed computation  least squares solution  linear matrix equation  substitutional decomposition  
Parameter Estimation and Variable Selection for Big Systems of Linear Ordinary Differential Equations: A Matrix-Based Approach 期刊论文
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2019, 卷号: 114, 期号: 526, 页码: 657-667
作者:  Wu, Leqin;  Qiu, Xing;  Yuan, Ya-xiang;  Wu, Hulin
收藏  |  浏览/下载:219/0  |  提交时间:2020/01/10
Complex system  Eigenvalue updating algorithm  High dimension  Matrix-based variable selection  Ordinary differential equation  Separable least squares  
On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations 期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 卷号: 59, 期号: 1, 页码: 1-33
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载:130/0  |  提交时间:2019/12/13
Matrix splitting  Iteration method  Convergence property  Spatial fractional diffusion equation  
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 5, 页码: 18
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载:192/0  |  提交时间:2019/01/11
convergence property  HSS iteration  matrix splitting  preconditioning  respective scaling  spatial fractional diffusion equation  
Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 卷号: 24, 期号: 4, 页码: 15
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya;  Pan, Jian-Yu
收藏  |  浏览/下载:185/0  |  提交时间:2018/07/30
convergence  Krylov subspace method  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  spectral analysis